I need to know the answer and how to solve this

Question

asked Jul 9, 2023 86.1k views

2 Answers

James Thigpen · Answer 1 · 2023-07-15T20:56:12+0000

We have here two parallel lines, m, and n, cut by a transversal (t). In this case, we have that the corresponding angles are congruent.

We have that both equations represent corresponding angles. Then, we have that:

Now, we need to solve these equations for x. We can proceed as follows:

1. Subtract 5x from both sides of the equation:

$7x-5x-4=5x-5x+10\Rightarrow2x-4=0+10\Rightarrow2x-4=10$

2. Add 4 to both sides of the equation:

$2x-4+4=10+4\Rightarrow2x+0=14\Rightarrow2x=14$

3. And finally, divide both sides of the equation by 2:

$(2x)/(2)=(14)/(2)\Rightarrow x=7$

Therefore, the value for x is x = 7.